9678768 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 2801920.

The previous prime is 9678761. The next prime is 9678787. The reversal of 9678768 is 8678769.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9678768.

It is not an unprimeable number, because it can be changed into a prime (9678761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11746 + ... + 12542.

Almost surely, 2^9678768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9678768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

9678768 is an abundant number, since it is smaller than the sum of its proper divisors (18819408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9678768 is a wasteful number, since it uses less digits than its factorization.

9678768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 9678768 is about 3111.0718410220. The cubic root of 9678768 is about 213.1114054962. Note that the first 3 decimals are identical.

Subtracting from 9678768 its reverse (8678769), we obtain a palindrome (999999).

The spelling of 9678768 in words is "nine million, six hundred seventy-eight thousand, seven hundred sixty-eight".